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13550242320 = 2432561308521
BaseRepresentation
bin11001001111010100…
…00100101000010000
31021222100011122000200
430213222010220100
5210222330223240
610120324415200
7656534105436
oct144752045020
937870148020
1013550242320
11582383867a
122761b47500
13137c398584
1492787cd56
155448e1930
hex327a84a10

13550242320 has 120 divisors (see below), whose sum is σ = 46252384152. Its totient is φ = 3554150400.

The previous prime is 13550242291. The next prime is 13550242351. The reversal of 13550242320 is 2324205531.

It is a happy number.

13550242320 is a `hidden beast` number, since 135 + 502 + 4 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 791184384 + 12759057936 = 28128^2 + 112956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110341 + ... + 198180.

Almost surely, 213550242320 is an apocalyptic number.

13550242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13550242320 is an abundant number, since it is smaller than the sum of its proper divisors (32702141832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13550242320 is a wasteful number, since it uses less digits than its factorization.

13550242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308601 (or 308592 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13550242320 its reverse (2324205531), we get a palindrome (15874447851).

The spelling of 13550242320 in words is "thirteen billion, five hundred fifty million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 308521 617042 925563 1234084 1542605 1851126 2468168 2776689 3085210 3702252 4627815 4936336 5553378 6170420 7404504 9255630 11106756 12340840 13883445 14809008 18511260 18819781 22213512 24681680 27766890 37022520 37639562 44427024 55533780 56459343 74045040 75279124 94098905 111067560 112918686 150558248 169378029 188197810 222135120 225837372 282296715 301116496 338756058 376395620 451674744 564593430 677512116 752791240 846890145 903349488 1129186860 1355024232 1505582480 1693780290 2258373720 2710048464 3387560580 4516747440 6775121160 13550242320